Question 58 (b)

Subtract:

$- a^{2} - a b$ from $b^{2} + a b$

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Solution

We have, $b^{2} + a b - (- a^{2} - a b) = b^{2} + a b + a^{2} + a b$
On combining the like terms,
$= b^{2} + a^{2} + a b + a b = a^{2} + b^{2} + 2 a b$

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Question 58 (f)

Subtract:

$- 2 a^{2} - 2 b^{2}$ from $- a^{2} - b^{2} + 2 a b .$

If a $^{2}$ +b $^{2}$ = 284 and ab = 58, find the value of (a+b).

Question 58 (h)

Subtract:

2(ab + bc + ca) from -ab - bc - ca.

If $(a - b) = 7$ and $a b = 9$ then $(a^{2} + b^{2}) = ?$
(a) 67
(b) 31
(c) 40
(d) 58

State True or False:

On subtracting $a^{2} + a b + b^{2}$ from $4 a^{2} - 3 a b + 2 b^{2}$ , the answer is $3 a^{2} - 4 a b + b^{2}$ .

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